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BabaBlast [244]

3 years ago

7

!!!The volume of the given figure is______!!!!

1 answer:

choli [55]3 years ago

7 0

Answer:

284.837734 ft^3 rounded up to 284.84 ft^3

Step-by-step explanation:

Cylinder Volume: pi*r^2h

pi*4^2*4=201.06193

Cone Volume: pi*r^2*(h/3)

pi*4^2*(5/3)=83.7758041

201.06193+83.7758041=284.837734

284.837734 ft^3

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Measure the lengths of the sides of ∆ABC in GeoGebra, and compute the sine and the cosine of ∠A and ∠B. Verify your calculations

marusya05 [52]

Answer:

$Sin \angle A =0.80$

$Cos \angle A=0.60$

$Sin \angle B =0.60$

$Cos \angle B=0.80$

Step-by-step explanation:

Given

I will answer this question using the attached triangle

Solving (a): Sine and Cosine A

In trigonometry:

$Sin \theta =\frac{Opposite}{Hypotenuse}$ and

$Cos \theta =\frac{Adjacent}{Hypotenuse}$

So:

$Sin \angle A =\frac{BC}{BA}$

Substitute values for BC and BA

$Sin \angle A =\frac{8cm}{10cm}$

$Sin \angle A =\frac{8}{10}$

$Sin \angle A =0.80$

$Cos \angle A=\frac{AC}{BA}$

Substitute values for AC and BA

$Cos \angle A=\frac{6cm}{10cm}$

$Cos \angle A=\frac{6}{10}$

$Cos \angle A=0.60$

Solving (b): Sine and Cosine B

In trigonometry:

$Sin \theta =\frac{Opposite}{Hypotenuse}$ and

$Cos \theta =\frac{Adjacent}{Hypotenuse}$

So:

$Sin \angle B =\frac{AC}{BA}$

Substitute values for AC and BA

$Sin \angle B =\frac{6cm}{10cm}$

$Sin \angle B =\frac{6}{10}$

$Sin \angle B =0.60$

$Cos \angle B=\frac{BC}{BA}$

Substitute values for BC and BA

$Cos \angle B=\frac{8cm}{10cm}$

$Cos \angle B=\frac{8}{10}$

$Cos \angle B=0.80$

Using a calculator:

$A = 53^{\circ}$

So:

$Sin(53^{\circ}) =0.7986$

$Sin(53^{\circ}) =0.80$ -- approximated

$Cos(53^{\circ}) = 0.6018$

$Cos(53^{\circ}) = 0.60$ -- approximated

$B = 37^{\circ}$

So:

$Sin(37^{\circ}) = 0.6018$

$Sin(37^{\circ}) = 0.60$ --- approximated

$Cos(37^{\circ}) = 0.7986$

$Cos(37^{\circ}) = 0.80$ --- approximated

8 0

3 years ago

Read 2 more answers

Wake up to reality! Nothing ever goes as planned in this world. The longer you live, the more you realize that in this reality o

Kamila [148]

Exactly, Thank you again for these quotes!

-p.s you are loved <3

EDIT: THANKS FOR THE POINTS >:3

3 0

3 years ago

The shorter leg of a 30°-60°-90° triangle is 4. How long is the hypotenuse?

Lera25 [3.4K]

For a triangle 30-60-90,

If shorter leg is x, then hypotenuse is 2x.

So, if shorter leg is 4,

then hypotenuse is 2*4 = 8.

Answer is 8.

8 0

3 years ago

Plz help... 50 points and brainliest for correct answers

pogonyaev

Step-by-step explanation:

Hi,

For the first screenshot, your answer will be...

A) 1/10 + 1/4 ≤ 1

And for the second screenshot, your answer will be...

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7 0

3 years ago

When 4 times the number X is added to 12, the result is 8. What number results when two times x is that at 7?

kow [346]

I think you worded that a little wrong

8 0

3 years ago